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Solve the system (as is) using Gauss-Seidel with initial solution of (x, y, z) = (1,0,1).

Solve the system (as is) using Gauss-Seidel with initial solution of (x, y, z) = (1,0,1).

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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please answer table (a) and (b) in excel and PROVIDE SCREENSHOT OF EXCEL

Solve the system (as is) using Gauss-Seidel with initial solution of (x, y, z) = (1,0,1). +Answer: a. Iteration 1 2 3 4 5 Iteration 1 2 3 X 4 5 0.5 0.1468 0.7428 0.9468 0.9918 X €₂1₁% y 4.9 3.7153 S.1644 0.5 0.1468 0.7428 0.9468 0.9918 70.64% 40.599% 27.46% 4.75% $.0281 $.0034 b. Solve the system (as is) using Gauss-Jacobi with initial solution of (x, y, z) = (1,0,1). Answer: €a₂% y 100% 4.9 240.60% 3.7153 80.23% 3.1644 3.0281 $.0034 21.57% 4.54% €a₂% 24.18% 14.83% 4.81% 0.82% Z €a₂% 100% 31.89% 17.41% 4.5% 0.82% $.0928 3.8118 3.9708 3.9971 4.0001 Z €a₂% $.0923 3.8118 3.9708 3.9971 4.0001 23.27% 4.17% 0.66% 0.075% €a₂% 67.66% 18.87% 4% 0.66% 0.075%
Transcribed Image Text:Solve the system (as is) using Gauss-Seidel with initial solution of (x, y, z) = (1,0,1). +Answer: a. Iteration 1 2 3 4 5 Iteration 1 2 3 X 4 5 0.5 0.1468 0.7428 0.9468 0.9918 X €₂1₁% y 4.9 3.7153 S.1644 0.5 0.1468 0.7428 0.9468 0.9918 70.64% 40.599% 27.46% 4.75% $.0281 $.0034 b. Solve the system (as is) using Gauss-Jacobi with initial solution of (x, y, z) = (1,0,1). Answer: €a₂% y 100% 4.9 240.60% 3.7153 80.23% 3.1644 3.0281 $.0034 21.57% 4.54% €a₂% 24.18% 14.83% 4.81% 0.82% Z €a₂% 100% 31.89% 17.41% 4.5% 0.82% $.0928 3.8118 3.9708 3.9971 4.0001 Z €a₂% $.0923 3.8118 3.9708 3.9971 4.0001 23.27% 4.17% 0.66% 0.075% €a₂% 67.66% 18.87% 4% 0.66% 0.075%
Consider the system 3x + 7y + 13z- 76 x + 5y + 3z = 28 12x + 3y - 5z = 1 =
Transcribed Image Text:Consider the system 3x + 7y + 13z- 76 x + 5y + 3z = 28 12x + 3y - 5z = 1 =
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